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Kinetic model of pedestrian crowds

Kinetic model of pedestrian crowds. A Rangel-Huerta FCC BUAP. Macroscopic models. Average flow and Average activity versus density. Macroscopic Flow. Macroscopic activity. Microscopic models. Social Force models Multi-agent models Self-propelled particles.

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Kinetic model of pedestrian crowds

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  1. Kineticmodel of pedestriancrowds A Rangel-Huerta FCC BUAP

  2. Macroscopicmodels

  3. Averageflow and Averageactivity versus density MacroscopicFlow Macroscopicactivity

  4. Microscopicmodels Social Forcemodels Multi-agentmodels Self-propelledparticles

  5. Social ForcemodelD. HelbingPhysRev E 51, 5 1995

  6. Microscopicencounters Free Walking Walkingwithothers

  7. Social Forcemodelequations Video 1

  8. Multi-agentmodelsA. Rangel-Huerta A. Muñoz-Meléndez Physica A 389 (2010)

  9. MicroscopicPseudo-collisions • Free walking • Walkingwithothers • A set of basic rules forsolvingtrafficconflictsbetweenpedestrians

  10. Kineticequationfor MAS

  11. Crowdflowpatternsfor MAS Video 1

  12. Self-propelledmodel Free walking and binarycollions Physicalcollision

  13. Boltzmann equation

  14. Analyticalsolution

  15. Simulationresults Video 1

  16. Fundamental transportdiagram Microscopicprobabilitydistributionfunction Macroscopicaverageflow of walking

  17. Thanks

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